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Notes #10Graph Equations of LinesGraph Equations of Lines
(Section 2‐3)
Family of functions: a group of functions with shared characteristics.
Parent function: The most basic function in a family of functions
y‐intercept: The y coordinate of a point where the graph intersects the y – axis
x‐intercept: The coordinate of a point where a graph intersects the x – axis
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Slope‐Intercept Form
y= mx + b
with slope m and y ‐ intercept b
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation. Compare the graph with the graph of y = x.
yExample 1
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation. Compare the graph with the graph of y = x.
yExample 2
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation. Compare the graph with the graph of y = x.
yExample 3
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation. Compare the graph with the graph of y = x.
yExample 4
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation.
yExample 5
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation.
yExample 6 4x + 3y = 9
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph the equation.
yExample 7 5x – 2y = 8
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Standard Form
Ax + By= C
where A and B are not both zero.
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Write each equation in standard form.
Example 8 2 3 7Example 8 2x = 3y + 7
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Write each equation in standard form.
Example 9 6 2 1Example 9 6y = ‐2x + 1
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Write each equation in standard form.
Example 10Example 10
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
To find an x‐intercept set y= 0.
To find an y‐intercept set x= 0To find an y‐intercept set x= 0.
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Find the x and y‐intercepts of the given equation.
E l 11 2 2 0Example 11 2x + y 2 = 0
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Find the x and y‐intercepts of the given equation.
E l 12 6 4 5Example 12 6x + 4y=‐5
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
STANDARD FORM Graph the equation. Label any intercepts.
Example 13py
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
STANDARD FORM Graph the equation. Label any intercepts.
Example 14py
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Horizontal Lines are y= . Their slope is 0.
Vertical Lines are x= Their slope is undefinedVertical Lines are x=. Their slope is undefined.
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph.
E l 15 2y
Example 15 x=2
x
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Graph.
E l 16 3y
Example 16 y = ‐3
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph.
yExample 17 y = 5
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
Graph.
E l 18 1y
Example 18 x = ‐1
x
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?
HW #14 pg 93 (1‐41 odd)
Standard: Prepare for 2.0Essential Question: How do you graph a linear equation? Essential Question...How do you graph a linear equation?